Question

The ratio of the price of a tv to the price of a computer is 13:15 if the tv 400 dollars cheaper than the computer, how much does the computer cost.

Answer 1

The computer cost is $3000

Step-by-step explanation:

The given is:

• The ratio of the price of a tv to the price of a computer is 13 : 15
• The tv 400 dollars cheaper than the computer

We need to find the cost of the computer

Assume that the price of the computer is $x

∵ The ratio between the prices of the tv and the computer is 13 : 15

∵ The price of the computer is $x

∵ The price of the tv 400 dollars cheaper than the computer

- That means the price of the tv is less than the price of the

  computer by $400

∴ The price of the tv is $(x - 400)

By using the ratio method

→  tv              :    computer

→  13              :    15

→  (x - 400)   :    x

By using the cross multiplication

∴ 15(x - 400) = 13(x)

- Simplify the left hand side

∴ 15x - 6000 = 13x

- Add 6000 to both sides

∴ 15x = 13x + 6000

- Subtract 13x from both sides

∴ 2x = 6000

- Divide both sides by 2

∴ x = 3000

The computer cost is $3000

Learn more:

You can learn more about the ratio in brainly.com/question/4847829

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